Pith Number

pith:PC2YXWLL

pith:2015:PC2YXWLLESYY2RW4DB6PLQRDKD

not attested not anchored not stored refs pending

Conley-Morse-Forman theory for combinatorial multivector fields

Marian Mrozek

arxiv:1506.00018 v3 · 2015-05-29 · math.DS · math.AT · math.CO · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC2YXWLLESYY2RW4DB6PLQRDKD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:14:18.057813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b58bd96b24b18d46dc187cf5c22350f16a0772fe5e8c8420cedfa0dbf180ad

Aliases

arxiv: 1506.00018 · arxiv_version: 1506.00018v3 · doi: 10.48550/arxiv.1506.00018 · pith_short_12: PC2YXWLLESYY · pith_short_16: PC2YXWLLESYY2RW4 · pith_short_8: PC2YXWLL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PC2YXWLLESYY2RW4DB6PLQRDKD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 78b58bd96b24b18d46dc187cf5c22350f16a0772fe5e8c8420cedfa0dbf180ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e9122f3bf767cf3f17d27238aaf6846c22b9986ab1692454c9cdd1c7bb524b",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-29T20:14:44Z",
    "title_canon_sha256": "c85320e48d896f1a9ade739ffa1d43350a92362aa55cb6f1ffd76f5997230256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00018",
    "kind": "arxiv",
    "version": 3
  }
}